单线铁路成对追踪平行运行图通过能力计算方法研究

Research on Method on Calculating Carrying Capacity of Parallel Train Working Graph with Tracking Operation on Single-track Railway

针对我国当前部分单线铁路亟需提高线路通过能力问题,以应用移动闭塞作为扩能手段,在阐述技术可行性的基础上,依据上下行列车的交会车站是否为单线区段的首末站,以及列车在交会车站是否有技术作业,将列车的交会模式分为8种,并结合实际情况对这8种列车交会模式进行组合,得到24种区间列车运行图铺画方案,分析各铺画方案之间的衔接关系,并将其转化为数学约束,基于该约束构建求解单线铁路成对追踪平行运行图最小周期的混合整数线性规划模型,利用商业软件Lingo12进行编程求解,算例结果表明单线铁路应用移动闭塞后,线路通过能力提升了72.5%。

To improve the carrying capacity of single-track railway in China,the paper proposed a solution for capacity expansion that applies moving block in single-track railway.On the basis of elaborating the feasibility of the solution,the paper divided the train crossing modes into 8 classes according to whether the station where up or down trains arrive is a terminal station and whether the train has technical operation in the station.Based on the actual situation,24 drawing plans of a railway section in a parallel train working graph with tracking operation on single-track railway were presented by combining the 8 crossing modes.Analyzing the relation between the drawing plans of two adjacent sections which were turned into mathematical constraints,the paper established a mixed integer linear programming model for the minimum cycle time of a parallel train working graph with tracking operation on single-track railway.The model was solved by Lingo12 and the results ndicate that the carrying capacity of a single railway line can be improved by 72.5%after the application of moving block.